With the development of Internet, it is widely spreaded to a Intranet based on Internet technology. Intranet is a private, unique network to share the information of organization such as incorporate, research institute and university. With the increase of Intranet using, Intranet environment is developing into Extranet environment which is connected many Intranet. Currently such Intranet and Extranet environments, above all, it is important to solve security problems which can appear through use of information between domains. Thus, in this paper, we propose SSO(Single Sign-on System) model with authorization management and single sign-on operation, and we extend it to enable mutual authentication through inter-working based on PKI(Public Key Infrastructure) in Extranet environments.